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Finding the Fourth Proportional to 7,380.34, 11,069.14 and 2,114.22

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Solution

The fourth proportional to 7,380.34, 11,069.14 and 2,114.22 is: 3,170.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,380.34 : 11,069.14 = 2,114.22 : x
  2. Step 2: Convert to fraction form
    7,380.34/11,069.14 = 2,114.22/x
  3. Step 3: Cross multiply
    7,380.34x = 11,069.14 × 2,114.22
  4. Step 4: Simplify right side
    7,380.34x = 23,402,597.17
  5. Step 5: Solve for x
    x = 23,402,597.17/7,380.34
  6. Step 6: Final answer
    x = 3,170.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.